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That's not too hard to show. But first, you have to be comfortable enough with

calculus that the idea of a triple integral doesn't scare you. We're pretty sure

that the question can't be answered without spending a few minutes working

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Q: Why is the surface area of a sphere is 4πr squared?
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Suppose the sphere below with radius r has a surface area equal to 45 units 2 Find the surface area of the sphere with twice the radius'?

The area of a sphere is given by the formula A = 4πr² A sphere with radius r has an area = 4πr² A sphere with radius 2r has an area = 4π(2r)² = 4π.4r² = 16πr² The ratio of the larger sphere to the smaller = 16πr² : 4πr² = 4 : 1 If the area of the smaller sphere is 45 units then the area of the larger sphere is 45 x 4 = 180 units.


What is the volume of a sphere with a surface area of 452.39cm2?

Surface area of sphere = 4r 4 xπ x r2 = 452.39 cm2 r2 = 452.39/(4) = 36.01831210191 cm2 r = sqrt(36.01831210191) = 6 cm(approximately) And volume is given by V = 4πr3 = 4 x π x 63/3 cm3 = 905.46912199289 cm3


What is 4r r in simplest form?

4r + 4 = 5r 4r - r = 3r 4r x r = 4r^2 4r/r = 4


What is the answer to -2 equals 4r plus s solving for s?

-2=4r+s s=-4r-2 or s=-(4r+2)


What is 4r-48?

4r-48 = -44


What is 4(2r plus 3s) - 4r?

It is 4r + 12s


What is the anwer for 36 4r?

If 36 = 4r, r = 9


How would you solve 4r plus 13 equals 57?

4r + 13 = 57subtract 13 from both sides:4r + 13 - 13 = 57 -134r = 44divide both sides by 4 to solve for r:4r/4 = 44/4r = 11


If a radius of a sphere increase by a factor of 4 what does the factor of the volume increase?

64The formula to find the volume of a sphere is4/3 * pi * r3where r is the radius of the sphere. So if the radius is increased by a factor of 4, then the formula becomes4/3 * pi * (4r)3 = 4/3 * pi * 64r3showing that the volume increases by a factor of 64.


Can you factor the polynomial 4r plus 8rs plus 28r?

4r + 8rs + 28r 4r is a factor of every every term so the expression can be written 4r(1 + 2s +7) NOTE : The original expression can be simplified to 8rs + 32r and thus the factored expression becomes 4r(2s + 8).


What is 4r plus r in simplest form?

It is in its simplest form: 4r+r = 5r


How do you get -2 equals 4r plus s solving for s?

s = -2 -4r